Clock and Calendar Quiz 3

Explanation:-
Deg = 0 deg in coincide
So,
0=(11/2 min-30(5))
0=(11/2 min - 150)
150=11/2 min
300= 11min
min=300/11
min=27.27 min
So the time between 5 and 6 ‘o’ clock when needles are coincide with each other is
5:27.27 min

Explanation:-
5th Dec 2019
=> The last 2 digit of the year is 19
=> 19 divided by 4
=> So Quotient is 4
=> Then date is 05
=> the code of Oct is 05
=> the code of year is 6
Then added 19+4+5+5+6= 39
=>Now we will divide 39 to 7
So remainder is 4
So the day is Thursday.

Explanation:-
Time difference between 3 am on Sunday and 10 am on Tuesday = 2 days and 7 hours
= 48 + 7 = 55 hours.
We know that the clock gains 12 seconds in 3 hours, i.e. 4 seconds in 1 hour.
Hence, in 55 hours, it will gain 55 × 4 seconds = 220 seconds.
Hence, At 10 am on Tuesday it will show 10:03:40 am
So the answer is 10 hrs 3 minutes 40 seconds.

Explanation:-

Same day will repeat after every 7 days
i.e.
Jan 1, 2013 = Day 1 = Tuesday
⇒ Jan 8, 2013 = Day 8 = Tuesday ..............................(8-1 = 7)
⇒ Dec 31, 2005 = Day 365 = Tuesday ......................... (365 - 1 = 364 = 7 × 52)
⇒ Jan 1, 2014 = Day 366 = Wednesday.

Explanation:-

Angle traced by hour hand in 12 hours = 360 °
Angle traced by hour hand in 1 hour = 360°/12 =30°
Angle traced by hour hand in 8 hour = 7 × 30° = 210°
At 7:30, hour hand will be in middle of 7 & 8, so angle traced by hour hand at 7:30
= 210° + (30°/2) = 210° + 15° = 225° -(i)
Angle traced by minute hand in 60 minutes = 360 °
Angle traced by minute hand in 1 minute = (360°/60)= 6°
Angle traced by minute hand in 30 minutes = 30 × 6° = 180° -(ii)
Now, the angle between the two hands of a clock when time is 8:30 = 225° - 180° (from i & ii)
= 45°

Explanation:-

In an ordinary year there are 365 days which means 52 weeks and 1 odd day but in a leap year there are 366 days which means 52 weeks and 2 odd days
So between 2013 and 2018 only 2016 is a leap year so total odd days between 2013 and 2018 are 6 days.
As given the Gandhi jayanti in 2013 falls on Wednesday
So Wednesday + 6 odd days = Tuesday
So the Gandhi jayanti will fall on Tuesday in 2018.

Explanation:-
11..the hands will be together for once per hour..e.g 9.45,10.50..but between 11 and 12 the coming together will be counted as 1 for both hence in 12 hrs time they will be together for 12-1=11 times

Explanation:

Month     : Mar       April  May   June  July  Aug  Sept.   Oct.

Odd days :      3         2        3       2      3      3     2         3

Total 21 odd days. 21/7 = 0. So November has start with the same day

Explanation:-

=> 23 divided by 7= so remainder will be 2
=> Wednesday +2 =Friday.
So the answer will be Friday .

Explanation:

x = 11/2 m – 30h
= 11/2 *30 - 30 *9
= /165-270/ = 115 deg